Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER2008PhysicsCapacitance

A capacitor having capacitance 1 F with air, is filled with two dielectrics as shown. How many times capacitance will increase?

Options

  1. A12
  2. B6
  3. C8 / 3
  4. D3

Correct answer

B. 6

Step-by-step solution

Key Idea : After filling with dielectrics the two capacitors will be in parallel order. As shown, the two capacitors are connected in parallel. Initially the capacitance of capacitor C= ₀ A d where A is area of each plate and d is the separation between the plates. After filling with dielectrics, we have two capacitors of capacitance. C₁= K₁ ₀(A / 2) d = 8 2 ₀ A d = 4 ₀ A d =4 C and C₂= K₂ ₀(A / 2) d = 4 2 ₀ A d = 2 ₀ A d =2 C Hence, their equivalent capacitance aligned C_ eq & =C₁+C₂ & =4 C+2 C=6 C aligned ie, new

Practice Capacitance on Quantrex Academy →

More from Capacitance

A parallel plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants k₁ , k₂ , k₃ and k₄ as shown in figu 2026Three identical parallel plate air capacitors are connected in series to a battery of e.m.f. V. If two capacitors are completely filled with dielectric material of constant k, then 2026Four identical capacitors are joined in series, across a battery of 20 V . The capacitors are separated and then connected in parallel. The potential difference across the parallel 2026The equivalent capacitance between 'P' and 'Q' is [A-area of each plate, d-separation between the plates, ₀ -permittivity of free space] 2026The air capacitor has a capacitance of 2 F. Now the space between two plates of capacitor is filled with two dielectrics as shown in the figure. The capacitance of the capacitor is 2026A parallel-plate air capacitor has a capacity ' C ', distance with a separation ' x ', a dielectric material with a dielectric constant ' k ' between plates, and a potential differ 2026A series combination of 10 capacitors, each of value ' C₁ ' is charged by a source of potential difference ' 4V '. When another parallel combination of 8 capacitors, each of value 2026Two capacitors of capacity C and C/3 are connected to a battery of voltage V as shown. The work done in charging both the capacitors fully is 2026 Full Capacitance list All JIPMER PYQs